Out-of-equilibrium dynamics of a quantum Heisenberg spin glass

Giulio Biroli and Olivier Parcollet
Phys. Rev. B 65, 094414 – Published 11 February 2002
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Abstract

We study the out-of-equilibrium dynamics of the infinite range quantum Heisenberg spin glass model coupled to a thermal relaxation bath. The SU(2) spin algebra is generalized to SU(N) and we analyze the large-N limit. The model displays a dynamical phase transition between a paramagnetic and a glassy phase. In the latter, the system remains out-of-equilibrium and displays an aging phenomenon, which we characterize using both analytical and numerical methods. In the aging regime, the quantum fluctuation-dissipation relation is violated and replaced over a very long time by its classical generalization, as in models involving simple spin algebras studied previously. We also discuss the effect of a finite coupling to the relaxation baths and their possible forms. This work completes and justifies previous studies on this model using a static approach.

  • Received 18 June 2001

DOI:https://doi.org/10.1103/PhysRevB.65.094414

©2002 American Physical Society

Authors & Affiliations

Giulio Biroli and Olivier Parcollet

  • Center for Material Theory, Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854-8019

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Issue

Vol. 65, Iss. 9 — 1 March 2002

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